Milica Ivanović

Faculty of Natural Sciences and Mathematics, University of Priština, Kosovska Mitrovica, Serbia

Articles

Open Access Original Scientific Paper

ANALYSIS OF GEODESICS ON DIFFERENT SURFACES

by Miroslav Maksimović, Tanja Jovanović, Eugen Ljajko, Milica Ivanović

It is widely known that some surfaces contain special curves as a geodesics, while a lots of geodesics on surface have complicated shapes. Goal of this research is to find on what surfaces are u- and v- parameter curves geodesics. Developable surfaces that contain a given plane curve as a geodesic are studied in the article, whereas the plane curve is also an initial u-parameter curve on that surface. Parametric equations of the minimal surfaces that contain an epicycloid as a geodesic are also given. Visualization of geodesics was done in Mathematica.

View Full-Text DOI 10.5937/univtho10-20589 Published: 30 Jun 2020

Open Access

COMPARATIVE PERFORMANCE ANALYSIS OF SOME ACCELERATED AND HYBRID ACCELERATED GRADIENT MODELS

by Milena Petrović, Milica Ivanović, Marijana Đorđević

We analyze a performance profile of several accelerated and hybrid accelerated methods. All comparative methods are at least linearly convergent and have satisfied numerical characteristics regarding tested metrics: number of iterations, CPU time and number of function evaluations. Among the chosen set of methods we numerically show which one is the most efficient and the most effective. Therewith, we derived a conclusion about what type of method is more preferable to use considering analyzed metrics.

View Full-Text DOI 10.5937/univtho9-18174